Mathlib Map

Theorems · Definition · algebraic topology

SSet.Edge.ofEq

{X : SSet} → {x₀ x₁ y₀ y₁ : X.obj (Opposite.op { len := 0 })} → SSet.Edge x₀ x₁ → x₀ = y₀ → x₁ = y₁ → SSet.Edge y₀ y₁

Transports an edge between x₀ and x₁ to an edge between y₀ and y₁, given x₀ = y₀ and x₁ = y₁.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.CompStruct
Cited by
4 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.